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Finding the Third Proportional to 118,140.50 and 178,057

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Solution

The third proportional to 118,140.50 and 178,057 is: 268,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,140.50 : 178,057 = 178,057 : x
  2. Step 2: Convert to fraction form
    118,140.50/178,057 = 178,057/x
  3. Step 3: Cross multiply
    118,140.50x = 178,057 × 178,057
  4. Step 4: Simplify right side
    118,140.50x = 31,704,295,249
  5. Step 5: Solve for x
    x = 31,704,295,249/118,140.50
  6. Step 6: Final answer
    x = 268,360.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.